What is the 1934th prime number?
The 1934th prime number is 16729. The next prime is 16741 (a gap of 12) and the one before is 16703.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1934th one is 16729.
- 2
16729 is prime because no prime up to ā16729 ā 129.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1934th prime is close to 1934 Ć ln(1934) ā 14635, and here it is 16729.
- 4
16729 has no twin: neither 16727 nor 16731 is prime.
Primes around the 1934th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1931 | 16693 | 2 |
| 1932 | 16699 | 6 |
| 1933 | 16703 | 4 |
| 1934 | 16729 | 26 |
| 1935 | 16741 | 12 |
| 1936 | 16747 | 6 |
| 1937 | 16759 | 12 |
Questions
What is the 1934th prime number?
16729.
Which prime number is 16729?
16729 is the 1934th prime number.
What is the sum of the first 1934 primes?
15,147,787.